1. The problem statement, all variables and given/known data assume that the equation xyz=1 holds in a group G. does it follow that yzx=1? yxz=1? 3. The attempt at a solution My thoughts are the following: Since in the problem, it does not state that G is an abelian group, we cannot assume the law of composition is commutitive. thus, it doesn not follow that yzx or yxz =1. Is this correct?